angular velocity lab





Angular velocity
Suppose a particle P is moving in a circle as shown below. Let O be the centre and OX be the X-axis. The position of the particle may be described by the angle q . Let the particle move to the position q + d q in a time dt. Assume that the particle keeps changing its position. Thus, we can def..
Definition of Angular Velocity
Definition of Angular Velocity - Angular velocity of a rotating rigid body is the rate of change of angle swept. If the body rotates through equal angles in equal time intervals, we say that it rotates with uniform angular velocity. If thi..
Angular Variables
Angular velocity - Suppose a particle P is moving in a circle as shown below. Let O be the centre and OX be the X-axis. The position of the particle may be described by the angle q . Let the particle move to the position q + d q in a time dt. Assume that the particle keeps chang..
Illustrations Angular Momentum
>A ballet dancer can vary her angular speed by outstretching her arms and legs. Suppose the dancer is rotating with her legs and arms stretched outward and if she suddenly folds her arms and brings her stretched legs closer, thereby reducing the moment of inertia, her angular ..
Conservation of Angular Momentum
of the system remains constant, no matter what changes take place within the system. Next, we consider a rigid body rotating about an axis AB. Let the angular velocity of the body be w . Consider the i t h particle going in a circle of radius r i , with its plane perpendicular t..
Relation between angular variables
Consider the same situation as in the above section. Let the particle move from P to P 1 with velocity v in time dt. Let d q be very small. We know th..
Due to the rotation of the Earth
If 'w' is the angular velocity of the Earth and f is the latitude of the place..
Bohr's Theory of Hydrogen Atom
Bohr's Theory of Hydrogen Atom - Niels Bohr suggested that the problem about hydrogen spectrum can be solved if we can make some assumptions. According to classical theory, the frequency of the electromagnetic waves emitted by a revolving electron is equal to the frequency of revolution. As the ele..
Motion of Particles and Rigid Body Summary
Summary - The centre of mass is an imaginary point where one can assume the entire mass of the given system or object to be positioned. Principle of conservation of linear momentum states that the linear momentum of a system remains constant if the external forces acting on the system add up to zer..
Circular motion
circular motion Suppose a body is undergoing circular motion about a circle of radius r, with an angular velocity w rad/s as shown in the figure. From geometry, we can observe that the corresponding distance travelled in 1 second is equal to r w . Since the distance travelled in 1 second is ..
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